VCAA 2007 Q.

[Slumdawg]

Need some help. Could someone please show working for the following, assessor's reports answers are wayyy too brief.

Thanks.

[ajjones]

find the equation of the graph |f(x)-g(x)| and then just solve to find the Maximum turning points like you normally would.

|f(x)-g(x)| = |6sin(xpi/2) -2(x^3 -6x^2 +8x)|
type this into y₁ and graph it for the domain 0 to 4
there are 4 TP's and two of them are obviously higher than the others, use calc to find maximums and you get y= 1.08 at both x= 0.38 and x-3.62

[Slumdawg]

find the equation of the graph |f(x)-g(x)| and then just solve to find the Maximum turning points like you normally would.

|f(x)-g(x)| = |6sin(xpi/2) -2(x^3 -6x^2 +8x)|
type this into y₁ and graph it for the domain 0 to 4
there are 4 TP's and two of them are obviously higher than the others, use calc to find maximums and you get y= 1.08 at both x= 0.38 and x-3.62

ohhhhhhh. I was trying to find the turning points first each THEN minus them. Thanks.